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Finding the Fourth Proportional to 807,139,709.80, 1,210,709,564.70 and 738,264,956.20

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Solution

The fourth proportional to 807,139,709.80, 1,210,709,564.70 and 738,264,956.20 is: 1,107,397,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,139,709.80 : 1,210,709,564.70 = 738,264,956.20 : x
  2. Step 2: Convert to fraction form
    807,139,709.80/1,210,709,564.70 = 738,264,956.20/x
  3. Step 3: Cross multiply
    807,139,709.80x = 1,210,709,564.70 × 738,264,956.20
  4. Step 4: Simplify right side
    807,139,709.80x = 893,824,443,754,166,656
  5. Step 5: Solve for x
    x = 893,824,443,754,166,656/807,139,709.80
  6. Step 6: Final answer
    x = 1,107,397,434.30

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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.