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Finding the Fourth Proportional to 288,603.20, 432,904.80 and 78,240.80

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Solution

The fourth proportional to 288,603.20, 432,904.80 and 78,240.80 is: 117,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,603.20 : 432,904.80 = 78,240.80 : x
  2. Step 2: Convert to fraction form
    288,603.20/432,904.80 = 78,240.80/x
  3. Step 3: Cross multiply
    288,603.20x = 432,904.80 × 78,240.80
  4. Step 4: Simplify right side
    288,603.20x = 33,870,817,875.84
  5. Step 5: Solve for x
    x = 33,870,817,875.84/288,603.20
  6. Step 6: Final answer
    x = 117,361.20

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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.