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Finding the Fourth Proportional to 510,047.40, 763,904.70 and 260,437.80

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Solution

The fourth proportional to 510,047.40, 763,904.70 and 260,437.80 is: 390,061.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,047.40 : 763,904.70 = 260,437.80 : x
  2. Step 2: Convert to fraction form
    510,047.40/763,904.70 = 260,437.80/x
  3. Step 3: Cross multiply
    510,047.40x = 763,904.70 × 260,437.80
  4. Step 4: Simplify right side
    510,047.40x = 198,949,659,477.66
  5. Step 5: Solve for x
    x = 198,949,659,477.66/510,047.40
  6. Step 6: Final answer
    x = 390,061.12

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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.