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Finding the Fourth Proportional to 385,470.80, 578,465.40 and 175,000.40

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Solution

The fourth proportional to 385,470.80, 578,465.40 and 175,000.40 is: 262,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,470.80 : 578,465.40 = 175,000.40 : x
  2. Step 2: Convert to fraction form
    385,470.80/578,465.40 = 175,000.40/x
  3. Step 3: Cross multiply
    385,470.80x = 578,465.40 × 175,000.40
  4. Step 4: Simplify right side
    385,470.80x = 101,231,676,386.16
  5. Step 5: Solve for x
    x = 101,231,676,386.16/385,470.80
  6. Step 6: Final answer
    x = 262,618.27

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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.