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Finding the Fourth Proportional to 456,412.10, 684,715.35 and 140,900.90

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Solution

The fourth proportional to 456,412.10, 684,715.35 and 140,900.90 is: 211,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,412.10 : 684,715.35 = 140,900.90 : x
  2. Step 2: Convert to fraction form
    456,412.10/684,715.35 = 140,900.90/x
  3. Step 3: Cross multiply
    456,412.10x = 684,715.35 × 140,900.90
  4. Step 4: Simplify right side
    456,412.10x = 96,477,009,058.82
  5. Step 5: Solve for x
    x = 96,477,009,058.82/456,412.10
  6. Step 6: Final answer
    x = 211,381.36

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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.