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Finding the Fourth Proportional to 280,569.96, 420,856.08 and 70,207.32

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Solution

The fourth proportional to 280,569.96, 420,856.08 and 70,207.32 is: 105,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,569.96 : 420,856.08 = 70,207.32 : x
  2. Step 2: Convert to fraction form
    280,569.96/420,856.08 = 70,207.32/x
  3. Step 3: Cross multiply
    280,569.96x = 420,856.08 × 70,207.32
  4. Step 4: Simplify right side
    280,569.96x = 29,547,177,482.51
  5. Step 5: Solve for x
    x = 29,547,177,482.51/280,569.96
  6. Step 6: Final answer
    x = 105,311.27

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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.