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Finding the Fourth Proportional to 386,412.60, 578,841.30 and 260,441.40

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Solution

The fourth proportional to 386,412.60, 578,841.30 and 260,441.40 is: 390,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,412.60 : 578,841.30 = 260,441.40 : x
  2. Step 2: Convert to fraction form
    386,412.60/578,841.30 = 260,441.40/x
  3. Step 3: Cross multiply
    386,412.60x = 578,841.30 × 260,441.40
  4. Step 4: Simplify right side
    386,412.60x = 150,754,238,549.82
  5. Step 5: Solve for x
    x = 150,754,238,549.82/386,412.60
  6. Step 6: Final answer
    x = 390,138.00

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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.