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Finding the Fourth Proportional to 229,798.55, 316,899.33 and 153,320.78

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Solution

The fourth proportional to 229,798.55, 316,899.33 and 153,320.78 is: 211,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,798.55 : 316,899.33 = 153,320.78 : x
  2. Step 2: Convert to fraction form
    229,798.55/316,899.33 = 153,320.78/x
  3. Step 3: Cross multiply
    229,798.55x = 316,899.33 × 153,320.78
  4. Step 4: Simplify right side
    229,798.55x = 48,587,252,457.08
  5. Step 5: Solve for x
    x = 48,587,252,457.08/229,798.55
  6. Step 6: Final answer
    x = 211,434.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.