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Finding the Fourth Proportional to 553,074.66, 829,870.34 and 286,689.86

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Solution

The fourth proportional to 553,074.66, 829,870.34 and 286,689.86 is: 430,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,074.66 : 829,870.34 = 286,689.86 : x
  2. Step 2: Convert to fraction form
    553,074.66/829,870.34 = 286,689.86/x
  3. Step 3: Cross multiply
    553,074.66x = 829,870.34 × 286,689.86
  4. Step 4: Simplify right side
    553,074.66x = 237,915,406,009.95
  5. Step 5: Solve for x
    x = 237,915,406,009.95/553,074.66
  6. Step 6: Final answer
    x = 430,168.70

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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.