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Finding the Fourth Proportional to 385,590.30, 578,385.45 and 243,872.70

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Solution

The fourth proportional to 385,590.30, 578,385.45 and 243,872.70 is: 365,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,590.30 : 578,385.45 = 243,872.70 : x
  2. Step 2: Convert to fraction form
    385,590.30/578,385.45 = 243,872.70/x
  3. Step 3: Cross multiply
    385,590.30x = 578,385.45 × 243,872.70
  4. Step 4: Simplify right side
    385,590.30x = 141,052,421,332.22
  5. Step 5: Solve for x
    x = 141,052,421,332.22/385,590.30
  6. Step 6: Final answer
    x = 365,809.05

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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.