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Finding the Fourth Proportional to 832,475, 1,248,909.34 and 271,509.50

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Solution

The fourth proportional to 832,475, 1,248,909.34 and 271,509.50 is: 407,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,475 : 1,248,909.34 = 271,509.50 : x
  2. Step 2: Convert to fraction form
    832,475/1,248,909.34 = 271,509.50/x
  3. Step 3: Cross multiply
    832,475x = 1,248,909.34 × 271,509.50
  4. Step 4: Simplify right side
    832,475x = 339,090,750,448.73
  5. Step 5: Solve for x
    x = 339,090,750,448.73/832,475
  6. Step 6: Final answer
    x = 407,328.45

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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.