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Finding the Fourth Proportional to 556,468, 767,925.84 and 318,004

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Solution

The fourth proportional to 556,468, 767,925.84 and 318,004 is: 438,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,468 : 767,925.84 = 318,004 : x
  2. Step 2: Convert to fraction form
    556,468/767,925.84 = 318,004/x
  3. Step 3: Cross multiply
    556,468x = 767,925.84 × 318,004
  4. Step 4: Simplify right side
    556,468x = 244,203,488,823.36
  5. Step 5: Solve for x
    x = 244,203,488,823.36/556,468
  6. Step 6: Final answer
    x = 438,845.52

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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.