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Finding the Fourth Proportional to 459,312.16, 688,596.48 and 143,606.56

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Solution

The fourth proportional to 459,312.16, 688,596.48 and 143,606.56 is: 215,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,312.16 : 688,596.48 = 143,606.56 : x
  2. Step 2: Convert to fraction form
    459,312.16/688,596.48 = 143,606.56/x
  3. Step 3: Cross multiply
    459,312.16x = 688,596.48 × 143,606.56
  4. Step 4: Simplify right side
    459,312.16x = 98,886,971,720.91
  5. Step 5: Solve for x
    x = 98,886,971,720.91/459,312.16
  6. Step 6: Final answer
    x = 215,293.61

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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.