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Finding the Fourth Proportional to 287,173.28, 430,848.12 and 147,030.32

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Solution

The fourth proportional to 287,173.28, 430,848.12 and 147,030.32 is: 220,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,173.28 : 430,848.12 = 147,030.32 : x
  2. Step 2: Convert to fraction form
    287,173.28/430,848.12 = 147,030.32/x
  3. Step 3: Cross multiply
    287,173.28x = 430,848.12 × 147,030.32
  4. Step 4: Simplify right side
    287,173.28x = 63,347,736,955.00
  5. Step 5: Solve for x
    x = 63,347,736,955.00/287,173.28
  6. Step 6: Final answer
    x = 220,590.64

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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.