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Finding the Fourth Proportional to 438,434.10, 657,651.15 and 420,938.10

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Solution

The fourth proportional to 438,434.10, 657,651.15 and 420,938.10 is: 631,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,434.10 : 657,651.15 = 420,938.10 : x
  2. Step 2: Convert to fraction form
    438,434.10/657,651.15 = 420,938.10/x
  3. Step 3: Cross multiply
    438,434.10x = 657,651.15 × 420,938.10
  4. Step 4: Simplify right side
    438,434.10x = 276,830,425,543.82
  5. Step 5: Solve for x
    x = 276,830,425,543.82/438,434.10
  6. Step 6: Final answer
    x = 631,407.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.