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Finding the Fourth Proportional to 315,897.52, 435,656.28 and 262,097.32

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Solution

The fourth proportional to 315,897.52, 435,656.28 and 262,097.32 is: 361,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,897.52 : 435,656.28 = 262,097.32 : x
  2. Step 2: Convert to fraction form
    315,897.52/435,656.28 = 262,097.32/x
  3. Step 3: Cross multiply
    315,897.52x = 435,656.28 × 262,097.32
  4. Step 4: Simplify right side
    315,897.52x = 114,184,343,429.17
  5. Step 5: Solve for x
    x = 114,184,343,429.17/315,897.52
  6. Step 6: Final answer
    x = 361,460.08

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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.