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Finding the Fourth Proportional to 513,307.35, 708,368.63 and 283,852.71

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Solution

The fourth proportional to 513,307.35, 708,368.63 and 283,852.71 is: 391,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,307.35 : 708,368.63 = 283,852.71 : x
  2. Step 2: Convert to fraction form
    513,307.35/708,368.63 = 283,852.71/x
  3. Step 3: Cross multiply
    513,307.35x = 708,368.63 × 283,852.71
  4. Step 4: Simplify right side
    513,307.35x = 201,072,353,885.22
  5. Step 5: Solve for x
    x = 201,072,353,885.22/513,307.35
  6. Step 6: Final answer
    x = 391,719.22

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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.