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Finding the Fourth Proportional to 409,779.40, 615,168.30 and 260,019.40

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Solution

The fourth proportional to 409,779.40, 615,168.30 and 260,019.40 is: 390,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,779.40 : 615,168.30 = 260,019.40 : x
  2. Step 2: Convert to fraction form
    409,779.40/615,168.30 = 260,019.40/x
  3. Step 3: Cross multiply
    409,779.40x = 615,168.30 × 260,019.40
  4. Step 4: Simplify right side
    409,779.40x = 159,955,692,265.02
  5. Step 5: Solve for x
    x = 159,955,692,265.02/409,779.40
  6. Step 6: Final answer
    x = 390,345.86

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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.