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Finding the Fourth Proportional to 471,802.47, 651,114.75 and 355,307.32

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Solution

The fourth proportional to 471,802.47, 651,114.75 and 355,307.32 is: 490,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,802.47 : 651,114.75 = 355,307.32 : x
  2. Step 2: Convert to fraction form
    471,802.47/651,114.75 = 355,307.32/x
  3. Step 3: Cross multiply
    471,802.47x = 651,114.75 × 355,307.32
  4. Step 4: Simplify right side
    471,802.47x = 231,345,835,058.43
  5. Step 5: Solve for x
    x = 231,345,835,058.43/471,802.47
  6. Step 6: Final answer
    x = 490,344.69

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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.