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Finding the Fourth Proportional to 1,411,547.09, 1,947,946.86 and 766,967.29

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Solution

The fourth proportional to 1,411,547.09, 1,947,946.86 and 766,967.29 is: 1,058,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,547.09 : 1,947,946.86 = 766,967.29 : x
  2. Step 2: Convert to fraction form
    1,411,547.09/1,947,946.86 = 766,967.29/x
  3. Step 3: Cross multiply
    1,411,547.09x = 1,947,946.86 × 766,967.29
  4. Step 4: Simplify right side
    1,411,547.09x = 1,494,011,519,408.34
  5. Step 5: Solve for x
    x = 1,494,011,519,408.34/1,411,547.09
  6. Step 6: Final answer
    x = 1,058,421.31

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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.