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Finding the Fourth Proportional to 657,534.72, 907,484.16 and 488,252.16

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Solution

The fourth proportional to 657,534.72, 907,484.16 and 488,252.16 is: 673,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,534.72 : 907,484.16 = 488,252.16 : x
  2. Step 2: Convert to fraction form
    657,534.72/907,484.16 = 488,252.16/x
  3. Step 3: Cross multiply
    657,534.72x = 907,484.16 × 488,252.16
  4. Step 4: Simplify right side
    657,534.72x = 443,081,101,285.79
  5. Step 5: Solve for x
    x = 443,081,101,285.79/657,534.72
  6. Step 6: Final answer
    x = 673,852.02

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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.