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Finding the Fourth Proportional to 286,892.58, 430,048.26 and 144,307.02

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Solution

The fourth proportional to 286,892.58, 430,048.26 and 144,307.02 is: 216,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,892.58 : 430,048.26 = 144,307.02 : x
  2. Step 2: Convert to fraction form
    286,892.58/430,048.26 = 144,307.02/x
  3. Step 3: Cross multiply
    286,892.58x = 430,048.26 × 144,307.02
  4. Step 4: Simplify right side
    286,892.58x = 62,058,982,856.79
  5. Step 5: Solve for x
    x = 62,058,982,856.79/286,892.58
  6. Step 6: Final answer
    x = 216,314.35

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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.