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Finding the Fourth Proportional to 565,038.84, 779,763.02 and 306,916.29

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Solution

The fourth proportional to 565,038.84, 779,763.02 and 306,916.29 is: 423,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,038.84 : 779,763.02 = 306,916.29 : x
  2. Step 2: Convert to fraction form
    565,038.84/779,763.02 = 306,916.29/x
  3. Step 3: Cross multiply
    565,038.84x = 779,763.02 × 306,916.29
  4. Step 4: Simplify right side
    565,038.84x = 239,321,971,643.01
  5. Step 5: Solve for x
    x = 239,321,971,643.01/565,038.84
  6. Step 6: Final answer
    x = 423,549.59

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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.