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Finding the Fourth Proportional to 288,970.66, 433,543.26 and 86,573.32

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Solution

The fourth proportional to 288,970.66, 433,543.26 and 86,573.32 is: 129,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,970.66 : 433,543.26 = 86,573.32 : x
  2. Step 2: Convert to fraction form
    288,970.66/433,543.26 = 86,573.32/x
  3. Step 3: Cross multiply
    288,970.66x = 433,543.26 × 86,573.32
  4. Step 4: Simplify right side
    288,970.66x = 37,533,280,465.68
  5. Step 5: Solve for x
    x = 37,533,280,465.68/288,970.66
  6. Step 6: Final answer
    x = 129,886.13

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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.