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Finding the Fourth Proportional to 806,707,509.80, 1,210,061,264.70 and 788,791,605.80

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Solution

The fourth proportional to 806,707,509.80, 1,210,061,264.70 and 788,791,605.80 is: 1,183,187,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,707,509.80 : 1,210,061,264.70 = 788,791,605.80 : x
  2. Step 2: Convert to fraction form
    806,707,509.80/1,210,061,264.70 = 788,791,605.80/x
  3. Step 3: Cross multiply
    806,707,509.80x = 1,210,061,264.70 × 788,791,605.80
  4. Step 4: Simplify right side
    806,707,509.80x = 954,486,168,099,091,840
  5. Step 5: Solve for x
    x = 954,486,168,099,091,840/806,707,509.80
  6. Step 6: Final answer
    x = 1,183,187,408.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.