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Finding the Fourth Proportional to 706,377.64, 974,779.86 and 384,088.36

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Solution

The fourth proportional to 706,377.64, 974,779.86 and 384,088.36 is: 530,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,377.64 : 974,779.86 = 384,088.36 : x
  2. Step 2: Convert to fraction form
    706,377.64/974,779.86 = 384,088.36/x
  3. Step 3: Cross multiply
    706,377.64x = 974,779.86 × 384,088.36
  4. Step 4: Simplify right side
    706,377.64x = 374,401,597,788.43
  5. Step 5: Solve for x
    x = 374,401,597,788.43/706,377.64
  6. Step 6: Final answer
    x = 530,030.36

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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.