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Finding the Fourth Proportional to 430,852.60, 646,970.10 and 291,230.20

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Solution

The fourth proportional to 430,852.60, 646,970.10 and 291,230.20 is: 437,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,852.60 : 646,970.10 = 291,230.20 : x
  2. Step 2: Convert to fraction form
    430,852.60/646,970.10 = 291,230.20/x
  3. Step 3: Cross multiply
    430,852.60x = 646,970.10 × 291,230.20
  4. Step 4: Simplify right side
    430,852.60x = 188,417,231,617.02
  5. Step 5: Solve for x
    x = 188,417,231,617.02/430,852.60
  6. Step 6: Final answer
    x = 437,312.51

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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.