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Finding the Fourth Proportional to 211,312.40, 316,442.80 and 147,835.38

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Solution

The fourth proportional to 211,312.40, 316,442.80 and 147,835.38 is: 221,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312.40 : 316,442.80 = 147,835.38 : x
  2. Step 2: Convert to fraction form
    211,312.40/316,442.80 = 147,835.38/x
  3. Step 3: Cross multiply
    211,312.40x = 316,442.80 × 147,835.38
  4. Step 4: Simplify right side
    211,312.40x = 46,781,441,586.26
  5. Step 5: Solve for x
    x = 46,781,441,586.26/211,312.40
  6. Step 6: Final answer
    x = 221,385.22

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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.