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Finding the Fourth Proportional to 501,569.40, 692,165.64 and 286,714.08

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Solution

The fourth proportional to 501,569.40, 692,165.64 and 286,714.08 is: 395,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,569.40 : 692,165.64 = 286,714.08 : x
  2. Step 2: Convert to fraction form
    501,569.40/692,165.64 = 286,714.08/x
  3. Step 3: Cross multiply
    501,569.40x = 692,165.64 × 286,714.08
  4. Step 4: Simplify right side
    501,569.40x = 198,453,634,680.21
  5. Step 5: Solve for x
    x = 198,453,634,680.21/501,569.40
  6. Step 6: Final answer
    x = 395,665.35

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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.