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Finding the Fourth Proportional to 657,312.80, 986,001.60 and 342,384.80

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Solution

The fourth proportional to 657,312.80, 986,001.60 and 342,384.80 is: 513,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,312.80 : 986,001.60 = 342,384.80 : x
  2. Step 2: Convert to fraction form
    657,312.80/986,001.60 = 342,384.80/x
  3. Step 3: Cross multiply
    657,312.80x = 986,001.60 × 342,384.80
  4. Step 4: Simplify right side
    657,312.80x = 337,591,960,615.68
  5. Step 5: Solve for x
    x = 337,591,960,615.68/657,312.80
  6. Step 6: Final answer
    x = 513,594.08

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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.