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Finding the Fourth Proportional to 586,776.80, 880,748.40 and 287,595.20

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Solution

The fourth proportional to 586,776.80, 880,748.40 and 287,595.20 is: 431,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,776.80 : 880,748.40 = 287,595.20 : x
  2. Step 2: Convert to fraction form
    586,776.80/880,748.40 = 287,595.20/x
  3. Step 3: Cross multiply
    586,776.80x = 880,748.40 × 287,595.20
  4. Step 4: Simplify right side
    586,776.80x = 253,299,012,247.68
  5. Step 5: Solve for x
    x = 253,299,012,247.68/586,776.80
  6. Step 6: Final answer
    x = 431,678.64

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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.