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Finding the Fourth Proportional to 657,776, 907,730.88 and 355,970

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Solution

The fourth proportional to 657,776, 907,730.88 and 355,970 is: 491,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,776 : 907,730.88 = 355,970 : x
  2. Step 2: Convert to fraction form
    657,776/907,730.88 = 355,970/x
  3. Step 3: Cross multiply
    657,776x = 907,730.88 × 355,970
  4. Step 4: Simplify right side
    657,776x = 323,124,961,353.60
  5. Step 5: Solve for x
    x = 323,124,961,353.60/657,776
  6. Step 6: Final answer
    x = 491,238.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.