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Finding the Fourth Proportional to 477,009, 715,514.72 and 144,585

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Solution

The fourth proportional to 477,009, 715,514.72 and 144,585 is: 216,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,009 : 715,514.72 = 144,585 : x
  2. Step 2: Convert to fraction form
    477,009/715,514.72 = 144,585/x
  3. Step 3: Cross multiply
    477,009x = 715,514.72 × 144,585
  4. Step 4: Simplify right side
    477,009x = 103,452,695,068.28
  5. Step 5: Solve for x
    x = 103,452,695,068.28/477,009
  6. Step 6: Final answer
    x = 216,877.87

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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.