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Finding the Fourth Proportional to 288,015.60, 432,023.40 and 260,459.40

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Solution

The fourth proportional to 288,015.60, 432,023.40 and 260,459.40 is: 390,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,015.60 : 432,023.40 = 260,459.40 : x
  2. Step 2: Convert to fraction form
    288,015.60/432,023.40 = 260,459.40/x
  3. Step 3: Cross multiply
    288,015.60x = 432,023.40 × 260,459.40
  4. Step 4: Simplify right side
    288,015.60x = 112,524,555,549.96
  5. Step 5: Solve for x
    x = 112,524,555,549.96/288,015.60
  6. Step 6: Final answer
    x = 390,689.10

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1.5x scale

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.