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Finding the Fourth Proportional to 478,360.38, 660,184 and 357,291.71

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Solution

The fourth proportional to 478,360.38, 660,184 and 357,291.71 is: 493,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,360.38 : 660,184 = 357,291.71 : x
  2. Step 2: Convert to fraction form
    478,360.38/660,184 = 357,291.71/x
  3. Step 3: Cross multiply
    478,360.38x = 660,184 × 357,291.71
  4. Step 4: Simplify right side
    478,360.38x = 235,878,266,973.72
  5. Step 5: Solve for x
    x = 235,878,266,973.72/478,360.38
  6. Step 6: Final answer
    x = 493,097.42

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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.