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Finding the Fourth Proportional to 657,353, 907,148.76 and 355,547

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Solution

The fourth proportional to 657,353, 907,148.76 and 355,547 is: 490,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,353 : 907,148.76 = 355,547 : x
  2. Step 2: Convert to fraction form
    657,353/907,148.76 = 355,547/x
  3. Step 3: Cross multiply
    657,353x = 907,148.76 × 355,547
  4. Step 4: Simplify right side
    657,353x = 322,534,020,171.72
  5. Step 5: Solve for x
    x = 322,534,020,171.72/657,353
  6. Step 6: Final answer
    x = 490,655.74

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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.