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Finding the Fourth Proportional to 312,697.61, 431,671.47 and 209,509.49

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Solution

The fourth proportional to 312,697.61, 431,671.47 and 209,509.49 is: 289,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,697.61 : 431,671.47 = 209,509.49 : x
  2. Step 2: Convert to fraction form
    312,697.61/431,671.47 = 209,509.49/x
  3. Step 3: Cross multiply
    312,697.61x = 431,671.47 × 209,509.49
  4. Step 4: Simplify right side
    312,697.61x = 90,439,267,368.89
  5. Step 5: Solve for x
    x = 90,439,267,368.89/312,697.61
  6. Step 6: Final answer
    x = 289,222.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.