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Finding the Fourth Proportional to 709,038,985.34, 978,637,058.45 and 415,778,031.74

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Solution

The fourth proportional to 709,038,985.34, 978,637,058.45 and 415,778,031.74 is: 573,869,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,038,985.34 : 978,637,058.45 = 415,778,031.74 : x
  2. Step 2: Convert to fraction form
    709,038,985.34/978,637,058.45 = 415,778,031.74/x
  3. Step 3: Cross multiply
    709,038,985.34x = 978,637,058.45 × 415,778,031.74
  4. Step 4: Simplify right side
    709,038,985.34x = 406,895,789,943,192,320
  5. Step 5: Solve for x
    x = 406,895,789,943,192,320/709,038,985.34
  6. Step 6: Final answer
    x = 573,869,418.13

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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.