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Finding the Fourth Proportional to 865,809.70, 1,298,714.55 and 546,945.10

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Solution

The fourth proportional to 865,809.70, 1,298,714.55 and 546,945.10 is: 820,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,809.70 : 1,298,714.55 = 546,945.10 : x
  2. Step 2: Convert to fraction form
    865,809.70/1,298,714.55 = 546,945.10/x
  3. Step 3: Cross multiply
    865,809.70x = 1,298,714.55 × 546,945.10
  4. Step 4: Simplify right side
    865,809.70x = 710,325,559,421.21
  5. Step 5: Solve for x
    x = 710,325,559,421.21/865,809.70
  6. Step 6: Final answer
    x = 820,417.65

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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.