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Finding the Fourth Proportional to 477,509, 716,144.40 and 140,482.56

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Solution

The fourth proportional to 477,509, 716,144.40 and 140,482.56 is: 210,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,509 : 716,144.40 = 140,482.56 : x
  2. Step 2: Convert to fraction form
    477,509/716,144.40 = 140,482.56/x
  3. Step 3: Cross multiply
    477,509x = 716,144.40 × 140,482.56
  4. Step 4: Simplify right side
    477,509x = 100,605,798,641.66
  5. Step 5: Solve for x
    x = 100,605,798,641.66/477,509
  6. Step 6: Final answer
    x = 210,688.80

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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.