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Finding the Fourth Proportional to 702,071.47, 968,863.35 and 430,139.89

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Solution

The fourth proportional to 702,071.47, 968,863.35 and 430,139.89 is: 593,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,071.47 : 968,863.35 = 430,139.89 : x
  2. Step 2: Convert to fraction form
    702,071.47/968,863.35 = 430,139.89/x
  3. Step 3: Cross multiply
    702,071.47x = 968,863.35 × 430,139.89
  4. Step 4: Simplify right side
    702,071.47x = 416,746,774,794.03
  5. Step 5: Solve for x
    x = 416,746,774,794.03/702,071.47
  6. Step 6: Final answer
    x = 593,595.94

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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.