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Finding the Fourth Proportional to 469,153.08, 646,417.26 and 317,987.64

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Solution

The fourth proportional to 469,153.08, 646,417.26 and 317,987.64 is: 438,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,153.08 : 646,417.26 = 317,987.64 : x
  2. Step 2: Convert to fraction form
    469,153.08/646,417.26 = 317,987.64/x
  3. Step 3: Cross multiply
    469,153.08x = 646,417.26 × 317,987.64
  4. Step 4: Simplify right side
    469,153.08x = 205,552,698,962.67
  5. Step 5: Solve for x
    x = 205,552,698,962.67/469,153.08
  6. Step 6: Final answer
    x = 438,135.67

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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.