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Finding the Fourth Proportional to 557,409.90, 836,114.85 and 520,085.10

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Solution

The fourth proportional to 557,409.90, 836,114.85 and 520,085.10 is: 780,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,409.90 : 836,114.85 = 520,085.10 : x
  2. Step 2: Convert to fraction form
    557,409.90/836,114.85 = 520,085.10/x
  3. Step 3: Cross multiply
    557,409.90x = 836,114.85 × 520,085.10
  4. Step 4: Simplify right side
    557,409.90x = 434,850,875,373.74
  5. Step 5: Solve for x
    x = 434,850,875,373.74/557,409.90
  6. Step 6: Final answer
    x = 780,127.65

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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.