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Finding the Fourth Proportional to 310,847.60, 466,271.40 and 286,353.20

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Solution

The fourth proportional to 310,847.60, 466,271.40 and 286,353.20 is: 429,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,847.60 : 466,271.40 = 286,353.20 : x
  2. Step 2: Convert to fraction form
    310,847.60/466,271.40 = 286,353.20/x
  3. Step 3: Cross multiply
    310,847.60x = 466,271.40 × 286,353.20
  4. Step 4: Simplify right side
    310,847.60x = 133,518,307,458.48
  5. Step 5: Solve for x
    x = 133,518,307,458.48/310,847.60
  6. Step 6: Final answer
    x = 429,529.80

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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.