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Finding the Fourth Proportional to 657,663.60, 986,495.40 and 433,277.40

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Solution

The fourth proportional to 657,663.60, 986,495.40 and 433,277.40 is: 649,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,663.60 : 986,495.40 = 433,277.40 : x
  2. Step 2: Convert to fraction form
    657,663.60/986,495.40 = 433,277.40/x
  3. Step 3: Cross multiply
    657,663.60x = 986,495.40 × 433,277.40
  4. Step 4: Simplify right side
    657,663.60x = 427,426,162,023.96
  5. Step 5: Solve for x
    x = 427,426,162,023.96/657,663.60
  6. Step 6: Final answer
    x = 649,916.10

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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.