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Finding the Fourth Proportional to 302,875.83, 417,987.14 and 166,909.77

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Solution

The fourth proportional to 302,875.83, 417,987.14 and 166,909.77 is: 230,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,875.83 : 417,987.14 = 166,909.77 : x
  2. Step 2: Convert to fraction form
    302,875.83/417,987.14 = 166,909.77/x
  3. Step 3: Cross multiply
    302,875.83x = 417,987.14 × 166,909.77
  4. Step 4: Simplify right side
    302,875.83x = 69,766,136,565.81
  5. Step 5: Solve for x
    x = 69,766,136,565.81/302,875.83
  6. Step 6: Final answer
    x = 230,345.67

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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.