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Finding the Fourth Proportional to 288,802.30, 433,232.40 and 99,237.70

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Solution

The fourth proportional to 288,802.30, 433,232.40 and 99,237.70 is: 148,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,802.30 : 433,232.40 = 99,237.70 : x
  2. Step 2: Convert to fraction form
    288,802.30/433,232.40 = 99,237.70/x
  3. Step 3: Cross multiply
    288,802.30x = 433,232.40 × 99,237.70
  4. Step 4: Simplify right side
    288,802.30x = 42,992,986,941.48
  5. Step 5: Solve for x
    x = 42,992,986,941.48/288,802.30
  6. Step 6: Final answer
    x = 148,866.50

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1.5x scale

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.