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Finding the Fourth Proportional to 657,494.24, 907,340.16 and 355,688

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Solution

The fourth proportional to 657,494.24, 907,340.16 and 355,688 is: 490,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,494.24 : 907,340.16 = 355,688 : x
  2. Step 2: Convert to fraction form
    657,494.24/907,340.16 = 355,688/x
  3. Step 3: Cross multiply
    657,494.24x = 907,340.16 × 355,688
  4. Step 4: Simplify right side
    657,494.24x = 322,730,006,830.08
  5. Step 5: Solve for x
    x = 322,730,006,830.08/657,494.24
  6. Step 6: Final answer
    x = 490,848.42

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1.5x scale

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.