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Finding the Fourth Proportional to 472,888.64, 652,328.16 and 302,931.20

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Solution

The fourth proportional to 472,888.64, 652,328.16 and 302,931.20 is: 417,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,888.64 : 652,328.16 = 302,931.20 : x
  2. Step 2: Convert to fraction form
    472,888.64/652,328.16 = 302,931.20/x
  3. Step 3: Cross multiply
    472,888.64x = 652,328.16 × 302,931.20
  4. Step 4: Simplify right side
    472,888.64x = 197,610,552,302.59
  5. Step 5: Solve for x
    x = 197,610,552,302.59/472,888.64
  6. Step 6: Final answer
    x = 417,879.68

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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.