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Finding the Fourth Proportional to 287,779.52, 397,386.46 and 180,533.90

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Solution

The fourth proportional to 287,779.52, 397,386.46 and 180,533.90 is: 249,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,779.52 : 397,386.46 = 180,533.90 : x
  2. Step 2: Convert to fraction form
    287,779.52/397,386.46 = 180,533.90/x
  3. Step 3: Cross multiply
    287,779.52x = 397,386.46 × 180,533.90
  4. Step 4: Simplify right side
    287,779.52x = 71,741,727,430.99
  5. Step 5: Solve for x
    x = 71,741,727,430.99/287,779.52
  6. Step 6: Final answer
    x = 249,294.07

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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.