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Finding the Fourth Proportional to 553,547.36, 830,321.60 and 154,188.96

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Solution

The fourth proportional to 553,547.36, 830,321.60 and 154,188.96 is: 231,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,547.36 : 830,321.60 = 154,188.96 : x
  2. Step 2: Convert to fraction form
    553,547.36/830,321.60 = 154,188.96/x
  3. Step 3: Cross multiply
    553,547.36x = 830,321.60 × 154,188.96
  4. Step 4: Simplify right side
    553,547.36x = 128,026,423,969.54
  5. Step 5: Solve for x
    x = 128,026,423,969.54/553,547.36
  6. Step 6: Final answer
    x = 231,283.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.