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Finding the Fourth Proportional to 642,281.82, 886,641.75 and 458,658.78

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Solution

The fourth proportional to 642,281.82, 886,641.75 and 458,658.78 is: 633,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,281.82 : 886,641.75 = 458,658.78 : x
  2. Step 2: Convert to fraction form
    642,281.82/886,641.75 = 458,658.78/x
  3. Step 3: Cross multiply
    642,281.82x = 886,641.75 × 458,658.78
  4. Step 4: Simplify right side
    642,281.82x = 406,666,023,352.07
  5. Step 5: Solve for x
    x = 406,666,023,352.07/642,281.82
  6. Step 6: Final answer
    x = 633,158.23

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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.