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Finding the Fourth Proportional to 657,290, 907,060.20 and 355,484

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Solution

The fourth proportional to 657,290, 907,060.20 and 355,484 is: 490,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,290 : 907,060.20 = 355,484 : x
  2. Step 2: Convert to fraction form
    657,290/907,060.20 = 355,484/x
  3. Step 3: Cross multiply
    657,290x = 907,060.20 × 355,484
  4. Step 4: Simplify right side
    657,290x = 322,445,388,136.80
  5. Step 5: Solve for x
    x = 322,445,388,136.80/657,290
  6. Step 6: Final answer
    x = 490,567.92

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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.